1004976672 has 288 divisors, whose sum is σ = 3257755200. Its totient is φ = 270047232.

The previous prime is 1004976653. The next prime is 1004976683. The reversal of 1004976672 is 2766794001.

It is a super-2 number, since 2×1004976672² = 2019956222528391168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7229979 + ... + 7230117.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2^1004976672 is an apocalyptic number.

1004976672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628877600).

1004976672 is an abundant number, since it is smaller than the sum of its proper divisors (2252778528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004976672 is a wasteful number, since it uses less digits than its factorization.

1004976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 1004976672 is about 31701.3670367699. The cubic root of 1004976672 is about 1001.6561463318.

The spelling of 1004976672 in words is "one billion, four million, nine hundred seventy-six thousand, six hundred seventy-two".